#### Filter Results:

#### Publication Year

2005

2016

#### Publication Type

#### Co-author

#### Key Phrase

#### Publication Venue

#### Brain Region

#### Cell Type

#### Method

Learn More

We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. The model admits a unique endemic equilibrium if and only if the basic reproduction number R 0 exceeds one, while the trivial… (More)

We investigate the class of general linear methods of order p and stage order q = p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which are A-stable and have large regions of stability with respect to… (More)

- Hermann Brunner, Eleonora Messina
- 2005

The semidiscretization in space of Volterra-Fredholm integral equations (arising, for example, as mathematical models of the spreading of epidemics) leads to large systems of Volterra integral equations. Here, we study inexpensive time-stepping methods using certain DQ (= direct quadrature) methods which are employed in a way that exploits the local… (More)

Within the theoretical framework of the numerical stability analysis for the Volterra integral equations, we consider a new class of test problems and we study the long-time behavior of the numerical solution obtained by direct quadrature methods as a function of the stepsize. Furthermore, we analyze how the numerical solution responds to certain… (More)

- Dipartimento Di Matematica, Applicazioni, Renato Caccioppoli, Thesis, Pasquale De Michele, Salvatore Cuomo +2 others
- 2015

implementation of neuronal models simulating Hippocampus dynamics' and the work presented in it are my own. I confirm that: This work was done wholly or mainly while in candidature for a research degree at this University. Where any part of this thesis has previously been submitted for a degree or any other qualification at this University or any other… (More)